a mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a(

Answer:

Not sure but........

6.50 x 5= $32.5

32.5 divided by 5 will give you back $6.50

Answer:

32.50

Step-by-step explanation:

A correlation coefficient, r can never be less than -1 or greater than 1. Thus, d. 1.032 is not possible as a correlation coefficient.

The correlation coefficient, r is a measure of the direction and strength of the linear relationship between two variables. The correlation coefficient (r) varies between -1 and 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. A value greater than 1 or less than -1 is not possible. Therefore, the value that could not represent a correlation coefficient is d. 1.032.

Given, the correlation coefficient varies between -1 and 1. The value that could not represent a correlation coefficient is 1.032 since it is greater than 1. A correlation coefficient, r of -1 indicates a perfect negative correlation where one variable decreases as the other increases. A correlation coefficient, r of 1 indicates a perfect positive correlation where both variables move in the same direction. A correlation coefficient of 0 indicates no linear relationship between the two variables.  A correlation coefficient, r can never be less than -1 or greater than 1.

Thus, d. 1.032 is not possible as a correlation coefficient.

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Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Answer:

222 grams.

Step-by-step explanation:

If it is 20% more, then it is 1.2 times more. 1.2*185=222, so the cereal box comes with 222 g of cereal.

The approximate value of log5(1258) is 3.40

Given that we have to approximate log5(1258) to two decimal places.

Using the change of base formula, we can rewrite this expression as:

log5(1258) = log(1258) / log(5)

To approximate log(1258) and log(5), we use the following properties:

log10(2) ≈ 0.301

log10(3) ≈ 0.477

log10(5) = 1

log10(1.25) ≈ 0.096

log10(1.258) ≈ 0.100

Therefore, we can say that:log(5) ≈ 1 and log(1258) ≈ log(1.25) + log(1000) + log(2)≈ 0.096 + 3 + 0.301≈ 3.397

Finally, we can find that log5(1258) ≈ 3.397/1≈ 3.397

Therefore, the approximate value of log5(1258) is 3.40 (rounded to two decimal places).

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Bill has a total of 3 one-piece jumpsuits, 5 pairs of work pants, and 8 work shirts. To find the number of possible outfits he can wear to work, we can use the multiplication principle.

First, we need to determine how many choices Bill has for his top and bottom. He can either wear a jumpsuit or a combination of pants and a shirt. Therefore, he has 3 + (5 x 8) = 43 choices for his top and bottom.

Next, we can use the multiplication principle to determine the total number of possible outfits he can wear. Since he has 43 choices for his top and bottom, and each outfit combination is independent of the others, we can multiply the number of choices for his top and bottom by the number of one-piece jumpsuits he has.

Therefore, Bill has a total of 43 x 3 = 129 possible outfits he can wear to work.

In summary, Bill has 3 one-piece jumpsuits, 5 pairs of work pants, and 8 work shirts. He can wear either a jumpsuit or pants and a shirt to work. Using the multiplication principle, we determined that he has a total of 129 possible outfits he can wear.

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The greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

To determine the vertex of the image triangle that is the greatest distance from the origin, we need to follow the given transformations step by step and find the coordinates of the image vertices.

1. Translation: The given triangle is translated 4 units left and 3 units up.

  - Vertex L' is located at (-2 - 4, 5 + 3) = (-6, 8).

  - Vertex E' is located at (1 - 4, 4 + 3) = (-3, 7).

  - Vertex D' is located at (2 - 4, -2 + 3) = (-2, 1).

2. Reflection: The translated triangle is reflected over the line y = 4.

  - The line y = 4 acts as a mirror. The y-coordinate of each vertex remains the same, but the x-coordinate is reflected.

  - Vertex L'' is located at (-(-6), 8) = (6, 8).

  - Vertex E'' is located at (-(-3), 7) = (3, 7).

  - Vertex D'' is located at (-(-2), 1) = (2, 1).

Now, we have the coordinates of the image triangle vertices: L'' (6, 8), E'' (3, 7), and D'' (2, 1).

To determine which vertex is the greatest distance from the origin (0, 0), we can calculate the distances using the distance formula:

- Distance from the origin to L'': √[(6 - 0)² + (8 - 0)²] = √(36 + 64) = √100 = 10.

- Distance from the origin to E'': √[(3 - 0)² + (7 - 0)²] = √(9 + 49) = √58.

- Distance from the origin to D'': √[(2 - 0)² + (1 - 0)²] = √(4 + 1) = √5.

Therefore, the greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

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a).  2^38 bytes of memory

b). 12 bits

c). The maximum number of entries in the single-level page table would be 2^38.

d). The size would be 2^38 * 4KB, which equals 2^20 pages.

e). The maximum number of entries it can have depends on the remaining bits of the logical address.

f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.

a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.

b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.

c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.

d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.

e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.

f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.

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Answer:

27

Step-by-step explanation:

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

Answer:

Step-by-step explanation:

The flux of F across the curve C in the direction pointing away from the origin is -18√122/11.

The flux of F coming out of the circle through the curve C is 24π.

The formula for the flux of a vector field F across a curve C in the direction of the unit normal vector field N is given as

flux = ∫C F . N ds

where ds is the differential length element along the curve C.

The curve C is a straight line, so we can find its equation as

y = -11x + 11.

The unit tangent vector field is T = (1,-11)/√122 and the unit normal vector field is N = (-11,-1)/√122, oriented away from the origin.

Thus, the vector field F(z,y) = (2,16) is independent of x,

Now, evaluate the curve at any point on the curve C.

Let's choose the point (0,11). Then, F(0,11) = (2,16)

flux = ∫C F . N ds

= ∫C (2,16) . (-11,-1)/√122 ds

= -18√122/11.

Therefore, the flux of F across the curve C in the direction pointing away from the origin is -18√122/11.

The circle C has radius 5 centered at the origin and its given by this equation

\(x^2 + y^2 = 25.\)

The unit normal vector field on the circle C is N = (x,y)/5, oriented outward from the circle.

Since the vector field F(x,y) = (8x,8) is independent of y, evaluate it at any point on the circle C.

Let's choose the point (3,4). Then, F(3,4) = (24,8)

flux = ∫C F . N ds

\(= \int C (24,8) . (x,y)/5 ds\\= \int C 24x/5 + 8y/5 ds\)

To parameterize the circle C, use x = 5cos(t) and y = 5sin(t),

where t goes from 0 to 2π.

Thus,

ds = 5dt

flux = \(\int C 24x/5 + 8y/5 ds\)

=\(\int0^2\pi 24(5cos(t))/5 + 8(5sin(t))/5 (5dt)\)

= 24π

Therefore, the flux of F coming out of the circle through the curve C is 24π.

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The people who only get news from one of the two sources we surveyed are in the group represented by set (B) ( Nc∩D) ∪ (N∩Dc).

A set is like a bunch of different stuff put together; it includes elements or members, which can be anything mathematical, like numbers, symbols, shapes, variables, or even other sets.

So, we have:

N = { x ∈ U | x subscribes to News Magazine }

D = { x ∈ U | x subscribes to The Daily Informer }

As, N∩D ≠ ∅.

It looks like a decent amount of people surveyed only have a subscription to News Magazine and not any other magazines.

= Subscribe to News Magazine and not Daily Informer

= N ∩ D c

Out of the people surveyed, 4 of them only subscribe to the Daily Informer.

= Subscribe to Daily informer and not subscribe to News Magazine

= D ∩ N c

Out of the people surveyed, 4 of them only subscribe to the Daily Informer.

= Subscribe to News Magazine and not subscribe to Daily Informer or subscribe to Daily informer and not subscribe to News Magazine

= ( N ∩ D c ) ∪ ( D ∩ N c )

= ( N c ∩ D ) ∪ ( N ∩ D c )

Therefore, the people who only get news from one of the two sources we surveyed are in the group represented by set (B) ( Nc∩D) ∪ (N∩Dc).

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Complete question:

Let U represent the set of people in a certain community who were asked if they subscribe to an information source. Let D ={ x ∈ U | x subscribes to The Daily Informer } and N ={ x ∈ U | x subscribes to News Magazine } (Assume these sets are not disjoint.) Write the set that represents the set of people surveyed who subscribe to exactly one of the two news sources given.

a. N ∪ D

b. ( N c ∩ D ) ∪ ( N ∩ D c )

c. N c ∩ D

d. ( N ∩ D )c

e. ( N c ∪ D ) ∩ ( N ∪ D c )

Answer: the 3rd one

Step-by-step explanation:

Answer:

255,000

Step-by-step explanation:

if we look there is already 254,000 so now we look at the hundreds place.

In the hundreds place there is 920 witch is closer to 1,000

so 254,000 plus 1,000 is 255,000

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Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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The RHS congruency criterion showed ABD ≅ DCA.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

The diameters of a circle with an O-centered center are AOC and BOD.

To Locate:

By RHS, ABD and DCA are congruent.

Solution:

The fact that AOC and BOD are a circle's diameters is a given.

BD = CA (circle circumferences)

"BAD = CDA" [90° angles in semicircle]

AD = AD (shared by both triangles)

[Using RHS congruence criterion] ABD ≅ DCA

As a result, the RHS congruency criterion showed ABD ≅ DCA.

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The best measure of central tendency to represent the ages of the team, including the coach, would be the mean or average age.

To calculate the mean, we add up all the ages and divide by the total number of people:

Mean = (Sum of all ages) / (Total number of people)

In this case, we have:

12 players who are 15 years old

8 players who are 16 years old

1 coach who is 43 years old

So, the total number of people is 12 + 8 + 1 = 21.

The sum of all the ages is:

12 × 15 (years old) + 8 × 16 (years old) + 43 (years old) = 180 + 128 + 43 = 351 (years old)

Therefore, the mean age of the team is:

Mean = 351 / 21 = 16.71 (rounded to two decimal places)

The mean is a good measure of central tendency because it takes into account all the ages in the team, including the coach, and provides an average value that is representative of the ages of the entire team. It is also a useful measure for making comparisons between different groups or teams based on their age and to estimate the mean ages of various people.

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The probability that a person is female and prefers hiking on mountain peaks is 1/25 or 0.04.

The problem deals with the computation of the probability of a female person who prefers hiking on mountain peaks using the given chart.

To solve the problem, we must find the joint probability P(F and P), which represents the probability that a person is female and prefers hiking on mountain peaks.A joint probability is the probability of two events occurring together.

P(F and P) is a probability notation that represents the probability that the events F and P occur together.The probability of F and P can be computed using the given chart. To do so, we first locate the female row in the chart, which contains a total of 550 females.

Next, we look for the mountain peaks column in the chart, which contains 160 people who prefer hiking on mountain peaks.Then, we identify the cell that corresponds to both female and mountain peaks categories.

The cell shows that there are 80 females who prefer hiking on mountain peaks.

Thus, the probability of a person being female and prefers hiking on mountain peaks is:P(F and P) = number of females who prefer hiking on mountain peaks/total number of people in the sample= 80/2000= 4/100Reducing the fraction 4/100 to its simplest form by dividing the numerator and denominator by 4 yields:P(F and P) = 1/25

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Answer:

51

Step-by-step explanation:

Answer:

c+10+2c+c=220

Step by step Explanation:

Let, a= number of adult's tickets sold

s= number of senior's tickets sold

c= number of children's tickets sold

a=c+10

and, s=2c

Now, a+ s+ c=220

c+10+2c+c=220

4c=210

c=52.5

Note: If there were 222 tickets the answer will be 53

Answer:

$48.75

Step-by-step explanation:

x = 3.25

y = soccer players

3.25(15) = 48.75.

The answer is $48.75.

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

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The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Answer:

D, or the last option

Step-by-step explanation:

Answer:

1/2-5d

Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.

Answer:

I believe the answer is C. Please let me know if I am wrong

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

I hope this helps! The answer is 9. I solved this by using “sin” to find y.

Step-by-step explanation:

Answer:

A = -12

Step-by-step explanation:

A   put in -2 for 'x' in the equation to find value

       2(-2)  - y = 8       add 4 to both sides

              -y = 12

               y = -12              

        I think YOU can now find B and C  with this method !

Answer:

2. 36

3. 8

4. 64 - 32

5. 7

I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!

Answer:

1782 tiles

Step-by-step explanation:

Given that:

Dimension fo floor = 132 x 216 inches

Area of floor = 132 * 216 = 28512 in²

Dimension of tiles = 4 * 4 inches

Area of tiles = 4 * 4 = 16 in²

Number of tiles needed to cover floor :

Area of floor / Area of tiles

28512 in² / 16 in²

= 1782 tiles